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Finding the Fourth Proportional to 12,611.76, 18,906.64 and 5,211.60

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Solution

The fourth proportional to 12,611.76, 18,906.64 and 5,211.60 is: 7,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,611.76 : 18,906.64 = 5,211.60 : x
  2. Step 2: Convert to fraction form
    12,611.76/18,906.64 = 5,211.60/x
  3. Step 3: Cross multiply
    12,611.76x = 18,906.64 × 5,211.60
  4. Step 4: Simplify right side
    12,611.76x = 98,533,845.02
  5. Step 5: Solve for x
    x = 98,533,845.02/12,611.76
  6. Step 6: Final answer
    x = 7,812.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.